A solid sphere of radius a has magnetisation **M** = M**e**_φ. Determine expressions for its bound current density **J**_b and its bound surface current **i**_b.

A solid sphere of radius a has magnetisation M = Me_φ. Determine expressions for its bound current density J_b and its bound surface current i_b.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A solid sphere of radius a has magnetisation **M** = M**e**_φ. Determine
expressions for its bound current density **J**_b and its bound surface
current **i**_b.

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Step 2: calculate the bound surface current i_b

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